Answer:
First year = 30000
Second year = 12000
Step-by-step explanation:
Given
[tex]Loan = \$42000[/tex]
Represent first year with f and second year with s.
So, we have:
[tex]s + f = 42000[/tex]
and
[tex]f = 3s - 6000[/tex]
Required
Solve for f and S
Substitute 3s - 6000 for f in the first equation.
[tex]s + f = 42000[/tex]
[tex]s + 3s - 6000 = 42000[/tex]
[tex]4s - 6000 = 42000[/tex]
Collect Like Terms
[tex]4s = 42000 + 6000[/tex]
[tex]4s = 48000[/tex]
Solve for s
[tex]s = 48000/4[/tex]
[tex]s = 12000[/tex]
Substitute 12000 for s in [tex]f = 3s - 6000[/tex]
[tex]f = 3 * 12000 - 6000[/tex]
[tex]f = 36000 - 6000[/tex]
[tex]f = 30000[/tex]
Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation
Find the slope of the line that passes through (9,6) and (1,3)
Answer:
3/8
Step-by-step explanation:
Slope m = (y2-y1) / (x2-x1)
= (3-6) / (1-9)
= (-3) / (-8)
= 3/8
2/ 6 dividing by 1 /3
Answer:
1/9
Step-by-step explanation:
I hope this help.
-2/9 ÷ 1/2 as a fraction
Answer:
-4/9
Step-by-step explanation:
-2/9*2/1
-4/9
Answer:-4/9
Step-by-step explanation:used a caculator
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answer:
I'm so sorry I can't help
Solve the system by substitution.
Y = 10x
7x + 3y =
37
Answer:
x=1 , y=10
Step-by-step explanation:
i attached photo of steps of solution
On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?
Answer:
Step-by-step explanation:
Decrease = 92 - 80 = 12
Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]
= [tex]\frac{1200}{92}\\[/tex]
= 13.04
= 13 %
Answer:
it would be a 12 percent
Step-by-step explanation:
A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?
The rate of descent was ____ feet per minute.
Please help ASAP my assignment is due in less then an hour.
Answer
The rate of descent was 59.5 feet per minute
Step-by-step explanation:
A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?
Answer:
[tex]\boxed{440 km}[/tex]
Step-by-step explanation:
→ Work out time between New Delhi and Lucknow
12:00 - 4:00 = 8:00
→ State the speed formula
Speed = Distance ÷ Time
→ Rearrange to make distance the subject
Distance = Speed × Time
→ Substitute in the values
55 × 8 = 440 km
how do i to find the slope
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Step-by-step explanation:
Answer:
The equation to find slope is y=mx+b. Find two points in the line that are clear. subtract x1 and x2 and y1 and y2. Plug in the x and y values of one into the equation. b is equal to y when x is 0
Step-by-step explanation:
PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE
What is the missing exponent
Answer:
x^5 is the missing
Two angles are supplementary. If one of them is 30 degrees, the other is...
150
150
30
30
15
15
60
Answer:
450
Step-by-step explanation:
An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?
Answer:
50
Step-by-step explanation:
To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes
Answer:
72
Step-by-step explanation:
60÷5=12
6×12=72 cones
Help step by step plz :)
Answer:
182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya
Step-by-step explanation:
hakdog ses dog
Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?
Answer:
26 miles every hour
Step-by-step explanation:
she drove 572 miles for 22 hours
??????? for 1 hour
572/22= 26 miles per hour
Answer: 26 miles
We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.
Let m represent miles, and h represent hours.
m ÷ h = 26
Remember to always check your answer.
26 x h = m
Therefore, the answer is 26. Hope this helps you!
A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?
Answer:
10/24 or 5/12
Step-by-step explanation:
If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.
:) Hope this helps
1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?
Answer:
It depends on how many teacher has
Step-by-step explanation:
52 children divided by number of teacher
Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5
Answer:
x=2
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
Select three ratios that are equivalent to
16
:
12
16:1216, colon, 12.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
8
:
6
8:68, colon, 6
(Choice B)
B
32
:
24
32:2432, colon, 24
(Choice C)
C
4
:
3
4:34, colon, 3
(Choice D)
D
12
:
8
12:812, colon, 8
(Choice E)
E
24
:
16
24:16
Answer:
A,B,C
Step-by-step explanation:
When you divide 16 by 12 you get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)
glad to help!
The equivalent ratio are 8:6, 32:24 and 4:3
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 16 : 12
Simplifying the ratio
= 16/12
= 4/3
So, first 8:6
= 4: 3
and, second 32:24
= 4:3
and, third = 4:3
and, fourth 12 : 8
= 3:2
Hence, the equivalent ratio are 8:6, 32:24 and 4:3
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ5
Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
I need to match each equation with the right answers and I need to show my work for each one
Help I’m so confused
Answer:
a
Step-by-step explanation:
90 minutes=1 and a half hour
hour=60 min
if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )
Answer:
48
Step-by-step explanation:
1 b = 2p
24 b = 48 p
award brainliest if this helped! :)
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.
Answer:820
Step-by-step explanation:
Since he got $500 the first week multiply 80x4 which is 320+500 is 820$
2( 3y−8 ) = 8 what is y?
[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]
Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
The function g(x) is defined as shown.
What is the value of g(0)?